We introduce a fairness criterion that we call Spanning. Spanning i) is implied by Calibration, ii) retains interesting properties of Calibration that some other ways of relaxing that criterion do not, and iii) unlike Calibration and other prominent ways of weakening it, is consistent with Equalized Odds outside of trivial cases.

The subject of this paper is the philosophical problem of accounting for the relationship between mathematics and non-mathematical reality. The first section, devoted to the importance of the problem, suggests that many of the reasons for engaging in philosophy at all make an account of the relationship between mathematics and reality a priority, not only in philosophy of mathematics and philosophy of science, but also in general epistemology/metaphysics. This is followed by a (rather brief) survey of the major, traditional philosophies (...) of mathematics indicating how each is prepared to deal with the present problem. It is shown that (the standard formulations of) some views seem to deny outright that there is a relationship between mathematics and any non-mathematical reality; such philosophies are clearly unacceptable. Other views leave the relationship rather mysterious and, thus, are incomplete at best. The final, more speculative section provides the direction of a positive account. A structuralist philosophy of mathematics is outlined and it is proposed that mathematics applies to reality though the discovery of mathematical structures underlying the non-mathematical universe. (shrink)

We examine George Boolos's proposed abstraction principle for extensions based on the limitation-of-size conception, New V, from several perspectives. Crispin Wright once suggested that New V could serve as part of a neo-logicist development of real analysis. We show that it fails both of the conservativeness criteria for abstraction principles that Wright proposes. Thus, we support Boolos against Wright. We also show that, when combined with the axioms for Boolos's iterative notion of set, New V yields a system equivalent to (...) full Zermelo-Fraenkel set theory with a principle of global choice. This advances Boolos's longstanding interest in the foundations of set theory. (shrink)

This collection of new papers on Scottish philosophy in the age of Hutcheson and Hume pays close attention to the study of context and the use of original historical sources as a key to philosophical interpretation. The book includes revolutionary new research on Hume's early reading in science and religion and its impact of his thought.

The neo-logicist argues tliat standard mathematics can be derived by purely logical means from abstraction principles—such as Hume's Principle— which are held to lie 'epistcmically innocent'. We show that the second-order axiom of comprehension applied to non-instantiated properties and the standard first-order existential instantiation and universal elimination principles are essential for the derivation of key results, specifically a theorem of infinity, but have not been shown to be epistemically innocent. We conclude that the epistemic innocence of mathematics has not been (...) established by the neo-logicist. (shrink)

We reply to Eva's comment on our "New Possibilities for Fair Algorithms," comparing and contrasting our Spanning criterion with his suggested Spacing criterion.

My dissertation consists of two main parts. In the first part, I begin by assuming the plausibility of the libertarian thesis that agents sometimes could have done otherwise than they did given the very same history of the world. In light of this assumption, I undertake to develop a model of agency which does not employ the concept of agent-causation. My agency theory is developed in three main stages: I suggest that any agency theory must satisfy four desiderata: It must (...) adequately account for the freedom and responsibility of human agents. It must provide an adequate answer to the question of what distinguishes human actions from mere happenings. It must adequately account for the epistemological fact that human agents have an immediate and nonobservational awareness of their actions. It should have the support of a respectable philosophical tradition. I argue that agent-causation provides a theory of agency which fails adequately to satisfy these four desiderata. I claim both that human actions are uncaused exercisings by agents of their powers and that human agents typically act for reasons. I maintain that the central issue dividing agency theorists and nonagency theorists is whether reasons for performing actions cause the latter. I maintain that the sense of 'because' in 'I did x because...' is not causal in nature, but teleological. ;Having developed my model of agency, in the second part of my dissertation I investigate what are some of the paradigmatic actions human agents perform. I claim that bodily actions, such as moving an arm, are psychological in nature. Essential to my argument is the concept of a body-image. A normal agent 'feels' as if she is present in her physical arm. The way a normal agent feels is revealed in the case of a phantom limb. The subject of a phantom arm feels as if her amputated physical arm is still there and she can move while feeling armishly. I maintain that the bodily action of moving an arm is the agent's movement as a psychological arm-image of her physical arm, whether the physical arm is present or not. (shrink)

Classically, the question of recognizing another subject is posed unilaterally, in terms of the observed behaviour of the other entity. Here, we propose an alternative, based on the emergent patterns of activity resulting from the interaction of both partners. We employ a minimalist device which forces the subjects to externalize their perceptual activity as trajectories which can be observed and recorded; the results show that subjects do identify the situation of perceptual crossing with their partner. The interpretation of the results (...) is guided by comparable evolutionary robotics simulations. There are two components to subjects’ recognition capacities: distinguishing mobile and fixed entities; and behaving so as to interact with their partner rather than with a mobile lure. The “Other” is characterized by the feature that there is sufficient regularity in the interactions to encourage the formation of anticipations; but sufficient indetermination that the actual behaviour is consistently surprising. Keywords: Recognition of other; perceptual crossing; evolutionary robotics. (shrink)

In recent years, there has been a rapid growth in the use of autologous stem cell-based interventions to treat a wide range of medical conditions, including those for which there is limited evidence of safety and efficacy. One justification for this growth in the use of unproven interventions is that clinicians should be free to innovate, as long as consumers are adequately informed about risks and benefits. In this essay, we systematically refute the strong claim that consumer and clinician autonomy (...) provide sufficient justification for clinical innovation with autologous stem cells. While we do not deny the importance of consumer and clinician autonomy, we argue that equal consideration needs to be given... (shrink)

Famously, Michael Dummett argues that considerations concerning the role of language in communication lead to the rejection of classical logic in favor of intuitionistic logic. Potentially, this results in massive revisions of established mathematics. Recently, Neil Tennant (“The law of excluded middle is synthetic a priori, if valid”, Philosophical Topics 24 (1996), 205-229) suggested that a Dummettian anti-realist can accept the law of excluded middle as a synthetic, a priori principle grounded on a metaphysical principle of determinacy. This article shows (...) that the for the anti-realist, the law of excluded middle entails that humans have wildly implausible abilities. The proposed synthesis between anti-realism and classical mathematics thus fails. (shrink)

I argue that Hobbes isn't really a materialist in the early 1640s (in, e.g., the Third Objections to Descartes's Meditations). That is, he doesn't assert that bodies are the only substances. However, he does think that bodies are the only substances we can think about using imagistic ideas.

Washday at the Pā is the title of an old schoolbook, a picture reading book for younger schoolchildren, which was produced in 1964 by the state education system in Aotearoa-New Zealand in 1964, written and photographed by Ans Westra, who later became one of the most famous photographers in the country. Washday at the Pā provoked a national debate when the Minister of Education acceded to protests by the Māori Womens Welfare League against its use in classrooms by withdrawing it (...) completely, and the story of this controversy has remained alive in national consciousness ever since. This research brings Māori feminist philosophy to the Washday debate: I take up Mana Wahine theory as a useful lens on the controversy, understood as an event about, with and for women, in the history of Māori education. The purpose of this article is to reread, using Mana Wahine theory, existing arguments about the book’s withdrawal, and to propose an or... (shrink)

In his Target Article, Terrence Deacon develops simple models that assist in understanding the role of RNA in the origins of life. However, his models fail to adequately represent an important evolutionary dynamic. Central to this dynamic is the selection that impinges on RNA molecules in the context of their association with proto-metabolisms. This selection shapes the role of RNA in the emergence of life. When this evolutionary dynamic is appropriately taken into account, it predicts a role for RNA that (...) is consistent with the Managed-Metabolism Hypothesis about the origins of life, and inconsistent with Deacon’s account. (shrink)

This book conveys 12 case studies about projects taking place in a School/University/Community Partnership Network in southwest Ohio. Participants partner to better the education experiences and the lives of community members in the region. This book shows how educational and community partnerships take shape and how they look in practice.

Using Black women's autobiographies published between 1960 and 1975, this article examines how the oppositional discourses of the civil rights and women's movements influence articulations of gender and race. Discursive analysis of the autobiographies reveals a crucial distinction between articulations of racist and sexist experiences and articulations of sociohistorical structures of sexism and racism. Insofar as social movement discourse bridges individual experience with structural explanations of experience, the available discourses on gender and race from the civil rights and women's movements (...) become pivotal. Finally, Black feminist concerns over hegemonic domination are addressed. (shrink)

Intuitions about arguments are an important source of evidence in epistemology. In this paper, I consider a principle defended recently: Necessarily, an argument P therefore C is justification-affording for subject S only if S justifiably believes that if P, then C. Cling presents an argument for . is important because its truth is inconsistent with many plausible epistemological theories, including standard reliabilism and even some forms of internalist foundationalism. I will argue that non-skeptical epistemologists should find Cling's argument unconvincing. Further, (...) I will briefly argue that is false. (shrink)

Open peer commentary on the article “Second-Order Science: Logic, Strategies, Methods” by Stuart A. Umpleby. Upshot: The author claims that second-order science leads to “an awareness of our impact on our social and biological environment.” If this is true, it is sheer irresponsibility not to address the possibility that human activity is leading the biosphere to a point of catastrophic collapse. More generally, I hold that science should openly address explicitly value-laden issues.